37836413 has 2 divisors, whose sum is σ = 37836414. Its totient is φ = 37836412.

The previous prime is 37836371. The next prime is 37836419. The reversal of 37836413 is 31463873.

It is a happy number.

37836413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18983449 + 18852964 = 4357^2 + 4342^2 .

It is a cyclic number.

It is not a de Polignac number, because 37836413 - 2⁶ = 37836349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37836419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18918206 + 18918207.

It is an arithmetic number, because the mean of its divisors is an integer number (18918207).

Almost surely, 2^37836413 is an apocalyptic number.

It is an amenable number.

37836413 is a deficient number, since it is larger than the sum of its proper divisors (1).

37836413 is an equidigital number, since it uses as much as digits as its factorization.

37836413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36288, while the sum is 35.

The square root of 37836413 is about 6151.1310342083. The cubic root of 37836413 is about 335.7144121149.

The spelling of 37836413 in words is "thirty-seven million, eight hundred thirty-six thousand, four hundred thirteen".